Quantum
3D Double Quantum Dot Ground State
Adjust the separation of two quantum dots in the fixed three-dimensional Gaussian-well domain to predict the ground-state wave function and probability density.
Published scope
The inputs, geometry and outputs below follow the registered public case. Published verification applies only to the stated conditions. Service availability requires a live request.
Double Quantum Dot Direct MLP
Two symmetric Gaussian wells form a three-dimensional double quantum dot. Changing their separation redistributes the ground-state wave function between the wells.
Adjust dot separation from 1.6 to 4.4 to predict the real and imaginary wave function and probability density on a fixed 19 by 19 by 19 grid. The frozen model passed independent finite-difference comparisons at two unseen separations, 1.9 and 3.7.
- Geometry
- 19 by 19 by 19 Cartesian quantum domain
- Geometry scope
- same_potential_family_and_fixed_domain_only
- Fixed conditions
- potential_family: symmetric_double_gaussian_well; well_depth: 8.0; well_width: 0.65; domain: [-4,4]^3
Adjustable inputs
| Input | Range | Default |
|---|---|---|
| Dot separation | 1.6 – 4.4 dimensionless length | 3.0 |
Output fields
- Quantum ground-state fields: Wave Function Real, Wave Function Imaginary, Probability Density
Registered verification
- registered_status
- passed
- summary
- Two post-freeze unseen separations passed the registered 19-cubed-grid thresholds.
- registered_parameters
- dot_separation: 1.9
- registered_reference
- Independent finite-difference ground state at dot separation 1.9
- point_count
- 6859
- holdout_metrics
- Density Relative L2: 0.08522553878601809; Wave Relative L2: 0.05679670638129878; Wavefunction Fidelity: 0.9971334921141871; Normalization Error: 0.04130183251650099; Density Correlation: 0.9965420859838945
- additional_registered_comparisons
- parameters: dot_separation: 3.7; metrics: Density Relative L2: 0.0708240626; Wave Relative L2: 0.0533727356; Wavefunction Fidelity: 0.9973761803; Normalization Error: 0.0333571334; Density Correlation: 0.997851637
Recorded workflow evidence
- Project opening
- PASS
- Save and reopen
- PASS
- Training
- NOT_RUN
- Prediction
- NOT_RUN
- Independent accuracy
- NOT_RUN
- Portable validation
- NOT_RUN
These are recorded checks; they do not establish live service availability or accuracy for every new request.